An optimal parallel algorithm for the Euclidean distance maps of 2-D binary images
Information Processing Letters
Designing systolic architectures for complete Euclidean distance transform
Journal of VLSI Signal Processing Systems
A unified linear-time algorithm for computing distance maps
Information Processing Letters
Computer Vision and Image Understanding
Sequential Operations in Digital Picture Processing
Journal of the ACM (JACM)
Linear Time Euclidean Distance Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
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The Euclidean distance transform is one of the fundamental operations in image processing. It has been widely used in computer vision, pattern recognition, morphological filtering, and robotics. This paper proposes a systolic algorithm that computes the Euclidean distance map of an N\times N binary image in 3N clocks on 2N^2 processing cells. The algorithm is designed so that the hardware resources are reduced; especially no mulitipliers are used and, thus, it facilitates VLSI implementation.